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arxiv: nlin/0509032 · v2 · submitted 2005-09-19 · 🌊 nlin.SI

Stackel systems: bi-Hamiltonian property and systematic construction

classification 🌊 nlin.SI
keywords systemsbi-hamiltonianpropertyseparableseparationtheyallowcertain
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It is shown that separation conditions (separation curves) are fundamental objects of separability theory. They are used for the classification of certain clases of separable systems, for the proof of bi-Hamiltonian property and finally they allow to construct new separable systems from known ones.

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